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I think this is probably a good idea - however, would this mean that only rulinalg can read and write these serialized matrices? Perhaps then it's better to use a more standardized format (such as Matrix Market) and have individual functions for these, rather than using serde?
EDIT: It's probably a good idea in any case, because if a user has a type which contains a rulinalg matrix, the user would be able to automatically derive serde's Serialize/Deserialize, which may be convenient in many cases.
ndarray has optional serde support, so hopefully we can just copy what they do.
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